Open Access

ARTICLE

On the Stability of the Hadley Flow under the Action of an Acoustic Wave

by M.K. Achour¹, S. Kaddeche², A. Gharbi², H. Ben Hadid³, D. Henry³

1 Institut National des Sciences Appliquées et de Technologie, Unité de Recherche Matériaux, Mesures et Applications, INSAT, B.P. 676, 1080 Tunis Cedex, Tunisie. E-mail : mohamedkarimachour@yahoo.fr
2 Laboratoire de Mécanique des Fluides, Faculté des Sciences deTunis, 1060 Tunis Cedex, Belvédère, Tunisie
3 Université Claude Bernard / Ecole Centrale de Lyon / INSA de Lyon, ECL, 36 Avenue Guy de Collongue, 69134, Ecully Cedex, France

Fluid Dynamics & Materials Processing 2005, 1(4), 277-284. https://doi.org/10.3970/fdmp.2005.001.277

Abstract

The effects of an acoustic wave on the instabilities occurring in a lateral differentially heated cavity are investigated numerically. Linear stability results show that the acoustic wave affects significantly the instability characteristics of such a Hadley flow. Indeed, the sound field is found to stabilize both two dimensional transverse stationary and three dimensional longitudinal oscillatory instabilities which are the most critical modes affecting the buoyant convection in the fluid layer. Nevertheless, when stabilized by an acoustic wave, the 2D modes turn from stationary to oscillatory, with the known consequences of such a change on mass and heat transfer, especially in horizontal Bridgman crystal growth process. The second feature to be mentioned is that the linear stability predicts a destabilization of 3D stationary modes that in the absence of acoustic waves are known to be excited at threshold values of the Grashof number highly above those of the two primary instabilities.

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